# 给出n,e,d, 求 q,p
import random
import gmpy2


def gcd(a, b):
    if a < b:
        a, b = b, a
    while b != 0:
        temp = a % b
        a = b
        b = temp
    return a


def getpq(n, e, d):
    p = 1
    q = 1
    while p == 1 and q == 1:
        k = d * e - 1
        g = random.randint(0, n)
        while p == 1 and q == 1 and k % 2 == 0:
            k //= 2
            y = pow(g, k, n)
            if y != 1 and gmpy2.gcd(y - 1, n) > 1:
                p = gmpy2.gcd(y - 1, n)
                q = n // p
    return p, q


def main():
    n = 16352578963372306131642407541567045533766691177138375676491913897592458965544068296813122740126583082006556217616296009516413202833698268845634497478988128850373221853516973259086845725813424850548682503827191121548693288763243619033224322698075987667531863213468223654181658012754897588147027437229269098246969811226129883327598021859724836993626315476699384610680857047403431430525708390695622848315322636785398223207468754197643541958599210127261345770914514670199047435085714403641469016212958361993969304545214061560160267760786482163373784437641808292654489343487613446165542988382687729593384887516272690654309
    e = 65537
    d = 9459928379973667430138068528059438139092368625339079253289560577985304435062213121398231875832264894458314629575455553485752685643743266654630829957442008775259776311585654014858165341757547284112061885158006881475740553532826576260839430343960738520822367975528644329172668877696208741007648370045520535298040161675407779239300466681615493892692265542290255408673533853011662134953869432632554008235340864803377610352438146264524770710345273439724107080190182918285547426166561803716644089414078389475072103315432638197578186106576626728869020366214077455194554930725576023274922741115941214789600089166754476449453

    p, q = getpq(n, e,d)
    print(p)
    print(q)

if __name__ == '__main__':
    main()